Question

Solve$\frac{1}{2}\left(m-3\right)=\frac{1}{4}\left(m-7\right)$

Short answer

The answer is$m=-1$

Step-by-step solution

Step 1. Given information

The equation is $\frac{1}{2}\left(m-3\right)=\frac{1}{4}\left(m-7\right)$.

Find value of m.

Step 2. Calculation

Simplify the equation $\frac{1}{2}\left(m-3\right)=\frac{1}{4}\left(m-7\right)$

LCD of 2 and 4 is 4.

So, $$\begin{gathered} 4\times \frac{1}{2}\left(m-3\right)=4\times \frac{1}{4}\left(m-7\right) \\ 2\left(m-3\right)=\left(m-7\right) \end{gathered}$$

so, role="math" localid="1644310435009" $2m-6=m-7$

Combine like terms,

$m=-1$